The local strong and weak solutions to a generalized Novikov equation

DOI10.1186/1687-2770-2013-134zbMath1294.35104OpenAlexW2120292322WikidataQ59301422 ScholiaQ59301422MaRDI QIDQ2251096

Meng Wu, Shaoyong Lai

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-134

zbMATH Keywords

local strong solutionlocal weak solutiongeneralized Novikov equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Soliton equations (35Q51) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (6)

Periodic wave solutions and their limit forms of the modified Novikov equation ⋮ Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation ⋮ The global solution and blow-up phenomena to a modified Novikov equation ⋮ The local well-posedness of solutions for a nonlinear pseudo-parabolic equation ⋮ Large time behavior of momentum support for a Novikov type equation ⋮ The stability of local strong solutions for a shallow water equation

Cites Work

• Global existence and blow-up phenomena for the weakly dissipative Novikov equation
• The Cauchy problem for the integrable Novikov equation
• Well-posedness and persistence properties for the Novikov equation
• Blow-up phenomenon for the integrable Novikov equation
• Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation
• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
• Blow-up of solutions to the DGH equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Peakon solutions of the Novikov equation and properties of the data-to-solution map
• On the Cauchy problem for the modified Novikov equation with peakon solutions
• The existence of global strong and weak solutions for the Novikov equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Persistence properties and unique continuation of solutions of the Camassa-Holm equation
• An integrable shallow water equation with peaked solitons
• The Cauchy problem for the Novikov equation

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